he U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in the manufacturing sector. The hourly wage was $30.67 for Switzerland, $20.20 for Japan, and $23.82 for the U.S. Assume that in all three countries, the standard deviation of hourly labor rates is $4.00. Appendix A Statistical Tables a. Suppose 38 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will be between $30.00 and $31.00? b. Suppose 34 manufacturing workers are selected randomly from across Japan. What is the probability that the sample average will exceed $21.00? c. Suppose 50 manufacturing workers are selected randomly from across the United States. What is the probability that the sample average will be less than $22.80? (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

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A:

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A: Type II error = P( Fail to reject Ho| When mu = 25)

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A: Answer Given,-5, 6, 3, -5, -7, -7, 8, -25The sample size [n] = 8

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A: The given data table is Female hamsters Run lengths Male hamsters Run lengths 1 2 1 3 2 6 2 4…

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A: Formula : Z =(X - μ)/σ

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A: A

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A: Given Data :

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Q: Suppose you know the population average wage in the manufacturing industry in the U.S. is $26.72 per…

A: true mean value = 25 mu = 26.72 s = 2.6

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A: Given: Mean μ=$1500Standard deviation σ=$300

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A: Given data,μ=25σ=12

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A: Let X be the number of winning games played. Here, X~N( 250, 832) X~N(250,832)⇒Z=X-25083~N(0,1) a.)…

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A: Z is known as standard normal variable and it's value is obtained using standard Normal table.

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.